Arithmetic harmonic analysis on character and quiver varieties II

Details Arithmetic harmonic analysis on character and quiver varieties II Arithmetic harmonic analysis on character and quiver varieties II

2011-09-23

arxiv.org/abs/1109.5202v1

Mathematics

Representation Theory

with an appendix by Gergely Harcos, 41 pages

Scientific paper

We study connections between the topology of generic character varieties of
fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver
representations, Hilbert schemes on surfaces, modular forms and multiplicities
in tensor products of irreducible characters of finite general linear groups.

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